Article overview
Abstract
Clifford-wavelet transform in $L^2$-spaces is defined in space-time algebra $Cl_{(3,1)}$ of Minkowski space with orthonormal vector basis. The properties of Clifford-wavelet transform are established. Plancherel's theorem and reproducing kernel is demonstrated. The inversion formula for Clifford-wavelet transform is established. The study is supported with examples and applications from Mathematical Physics.
Keywords and Phrases
Clifford-wavelet transformsimilitude groupmultivectorinversion formula.
AMS Subject Classification
15A66, 42B10, 42C40.
Reference information
How to Cite
Shabnam Jahan Ansari, V. R. Lakshmi Gorty (2024). ANALYSIS OF CLIFFORD-WAVELET TRANSFORM IN $Cl_{(3,1)}$. South East Asian Journal of Mathematics and Mathematical Sciences, 20(2), 299-322.